Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.1 Review of Functions - 1.1 Exercises - Page 10: 56


a) $h(g(0))=-1$ b) $g(f(4))=-1$ c) $h(h(0))=0$ d) $g(h(f(4)))=0$ e) $f(f(f(1)))=0$ f) $h(h(h(0)))=-1$ g) $f(h(g(2)))=1$ h) $g(f(h(4)))=-1$ i) $g(g(g(1)))=4$ j) $f(f(h(3)))=0$

Work Step by Step

a) $h(g(0))=h(0)=-1$ b) $g(f(4))=g(-1)=-1$ c) $h(h(0))=h(-1)=0$ d) $g(h(f(4)))=g(h(-1))=g(0)=0$ e) $f(f(f(1)))=f(f(0))=f(1)=0$ f) $h(h(h(0)))=h(h(-1))=h(0)=-1$ g) $f(h(g(2)))=f(h(3))=f(0)=1$ h) $g(f(h(4)))=g(f(4))=g(-1)=-1$ i) $g(g(g(1)))=g(g(2))=g(3)=4$ j) $f(f(h(3)))=f(f(0))=f(1)=0$
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